https://doi.org/10.1140/epjc/s10052-006-0144-z
Regular Article - Theoretical Physics
Shape invariance for the bent brane with two scalar fields
1
Sciences Faculty, Department of Physics, Mazandaran University, P.O. Box 47415-416, Babolsar, Iran
2
Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5531, Teheran, Iran
* e-mail: pouriya@ipm.ir
Received:
9
August
2006
Revised:
23
September
2006
Published online:
2
December
2006
In this paper, we study the braneworld scenarios in the presence of two real scalar fields coupled by gravity. The first-order formalism for the bent brane (for both de Sitter and anti-de Sitter geometry), leads us to discuss the shape invariance method in the bent brane systems. So, by using the fluctuations of metric and fields we obtain the Schrödinger equation. Then we factorize the corresponding Hamiltonian in terms of multiplication of the first-order differential operators. These first-order operators lead us to obtain the energy spectrum with the help of shape invariance method.
© Springer-Verlag Berlin Heidelberg, 2007